Extensions 1→N→G→Q→1 with N=He₃⋊₃C₄ and Q=C₃

Direct product G=N×Q with N=He₃⋊₃C₄ and Q=C₃

		d	ρ	Label	ID
C₃×He₃⋊₃C₄		108		C3xHe3:3C4	324,99

Semidirect products G=N:Q with N=He₃⋊₃C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₄⋊₁C₃ = He₃⋊C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊₃C₄	36	3	He3:3C4:1C3	324,13
He₃⋊₃C₄⋊₂C₃ = He₃.₂C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊₃C₄	108	3	He3:3C4:2C3	324,17

Non-split extensions G=N.Q with N=He₃⋊₃C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₄.C₃ = He₃.C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊₃C₄	108	3	He3:3C4.C3	324,15
He₃⋊₃C₄.₂C₃ = He₃.₅C₁₂	φ: trivial image	108	3	He3:3C4.2C3	324,102

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Extensions 1→N→G→Q→1 with N=He3⋊3C4 and Q=C3